c) The local campus bookstore takes orders for homecoming T-shirts. The Alpha Beta fraternity orders 3 medium, 8 large, and 13 extra-large T-shirts for a total cost of $357.50. The Beta Gamma sorority orders 16 medium and 9 large T-shirts for a total cost of $326.00. The Pi Beta fraternity orders 6 medium, 11 large, and 14 extra-large T-shirts for a total cost of $453. The order clerk wanted to check to make sure that the total costs were correct, but she didn't know the prices. You may help her by finding the price of each size shirt. Define the variables Write the system of equations d) A Broadway theater has 500 seats, divided into orchestra, main, and balcony seating. Orchestra seats sell for $50, main seats for $35, and balcony seats for $25. If all the seats are sold, the gross revenue to the theater is $17,100. If all the main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $14,600. How many are there of each kind of seat? Define the variables Write the system of equations